If 213 = 419, 322 = 924 , 415 = 16125 , then 215 = ?

Options

A. 625
B. 4125
C. 2541
D. 1625

Answer

B

Explanation

The pattern is as follows: Keep the middle number intact and square the number on either side i.e.
`213 = (2)^2 1 (3)^2 = 419, 322 = (3)^2 2 (2)^2 = 924, 415 = (4)^2 1 (5)^2 = 16125`
Therefore, Missing number = `215 = (2)^2 1 (5)^2 = 4125`